Julian Del Bel
Mathematical sciences; Pure mathematics; Algebra and number theory; Algebraic and differential geometry; Category theory, k theory, homological algebra; Lie groups, harmonic and Fourier analysis; Group theory and generalisations; Combinatorics and discrete mathematics (excl. physical combinatorics); Operator algebras and functional analysis; Mathematical logic, set theory, lattices and universal algebra; Ordinary differential equations, difference equations and dynamical systems; Partial differential equations; Pure mathematics not elsewhere classified; Real and complex functions (incl. several variables); Topology; Applied mathematics; Applied mathematics not elsewhere classified; Approximation theory and asymptotic methods; Calculus of variations, mathematical aspects of systems theory and control theory; Complex systems; Dynamical systems in applications; Mathematical methods and special functions; Operations research; Theoretical and applied mechanics; Mathematical physics; Algebraic structures in mathematical physics; Integrable systems (classical and quantum); Mathematical aspects of classical mechanics, quantum mechanics and quantum information theory; Mathematical aspects of general relativity; Mathematical aspects of quantum and conformal field theory, quantum gravity and string theory; Mathematical physics not elsewhere classified
Organized Collection of Research Materials
- Recursive Fractal Spacetime
- Recursive Fractal Spacetime Dynamics
- Fractal Geometry and Observational Cosmology
- Recursive Inflationary Fractal Time
- Adelic Mathematics and p-adic Structures
- Recursive Adelic Dynamics
- Adelic Aligned p-adic Spacetime
- P-Adic Structures in Energy-Momentum Tensor
- Cykloid Framework
- The DelBelian Cykloid Framework
- Cykloid-Adelic Recursive Field Equation (CARFE)
- Enhanced Cykloid Strata Framework
- Quantum Gravity and Holography
- Fractal Quantum Gravity Visualization
- Quantum Zeno Dynamics and Fractal Holography
- Recursive Fractal and Nonlocal Structures in Holography
- Number Theory and Mathematical Foundations
- Diophantus On Polygonal Numbers
- Prime-Modulated Geometry
- The Prime Cutoff at 282,281
Key Concepts
- Recursive Expansive Dynamics (RED)
- Hypatian Mathematics
- Fractal Adelic Scaffolding
- Triplexor-Adelic Hyperfolding Strata
- Cykloid-Adelic Recursive Field Equation (CARFE)
Publications
- A Comprehensive Theoretical Framework for Spatiotemporal Influence in Gravitational Wave Propagation and Spacetime Geometry
- Recursive Expansive Dynamics
- Recursive Spacetime, Fractal Entropy, and Quantum Geometry
- Quantum-Consistent Adelic Integration
- Quantum-Consistent Adelic Integration and Structure of Egyptian Fractions
- Dirichlet Eta Function of Prime Distributions, Fractal Geometry, and Gravitational Wave Dynamics
- Recursive Fractal Spacetime Dynamics in Renormalization Group Flow and Higher-Spin Holography
- Hypatian Axioms Foundations of Geometric Physics
- Fractal Geometry, Recursive Dynamics, and Observational Cosmology
- Recursive Inflationary Fractal Time (RIFT) Mathematical Foundations and Physical Implications
- Adelic Aligned p-adic Spacetime
- Hypatian Power Law
- Modified Klein-Gordon Fractal Stability and Quantum Zeno Analogies
- Hypatian Math
- Recursive Expansive Dynamics in Spacetime Quantum Nonlocality and Higher-Dimensional Dynamics
- Diophantus' On Polygonal Numbers via Recursive Fractal Dynamics and Prime-Modulated Geometry
- Dimensional Energy Scaling and Fractal Geometry in Adelic Aligned p-adic Spacetime
- Fractal-Torsional-Spectral Extensions to Wiles' Modularity Theorem
- Rigorous Formalization of the Cykloid Strata
- Recursive Adelic Dynamics
- Recursive-Dimensional Mathematics From Prime Fractals to Hyperspace Geometry
- Hypatia's Math
- Spatiotemporal ϕ/π Scaling: A Framework for Gravitational, Quantum, and Causal Influence
- Euclidean Framework for Recursive Feedback Dynamics and Multifractal Analysis
- Influentia Overversum
- Recursive Expansive Dynamics in Spacetime (REDS) Quantum Nonlocality and Higher-Dimensional Dynamics
- Recursive Expansive Hypergeometric Calculus
- Diophantus' On Polygonal Numbers via Recursive Fractal Dynamics and Prime-Modulated Geometry
- Recursive Adelic Dynamics, Fractal Holography, and Quantum Geometry for Spacetime, Gravity, and Quantum Information
- The E8 to G2 Symmetry Breaking Mechanism of Adelic Curvature and Exceptional Lie Scaffolding: Euclid's Fifth Postulate as a Quantum Gravitational Phase Indicator
- Categorical Reformation of Arithmetic and Spacetime Geometry Through Fractal-Adelic Scaffolding
- Recursive Expansive Dimensionless Framework for Gravitational Echoes and Fractal Spacetime
- The E8 to G2 Symmetry Breaking Mechanism of Adelic Curvature and Exceptional Lie Scaffolding: Euclid's Fifth Postulate as a Quantum Gravitational Phase Indicator